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Last updated on March 17th, 2025

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8 7/9 as a Decimal

Professor Greenline Explaining Math Concepts

Converting a mixed number to a decimal involves understanding both fractions and decimals. A mixed number consists of a whole number and a fraction. In this case, 8 is the whole number, and 7/9 is the fraction. A decimal uses a period (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

8 7/9 as a Decimal for Filipino Students
Professor Greenline from BrightChamps

What is 8 7/9 as a decimal?

8 7/9 as a decimal

Answer

 

8 7/9 in decimal form is approximately 8.77777… It is a recurring decimal, indicating that the digit 7 repeats infinitely.

 

Explanation

 

To convert 8 7/9 to a decimal, we first convert the fraction 7/9 to a decimal. We will use the division method.

 

Step 1: Identify the numerator and denominator. Here, 7 is the numerator, and 9 is the denominator.

 

Step 2: Divide 7 by 9. Since 7 is smaller than 9, we use decimals. Add a decimal point and zero, making it 70.

 

Step 3: 9 goes into 70 a total of 7 times (since 9 × 7 = 63). Place 7 in the quotient and subtract 63 from 70 to get 7.

 

Step 4: Bring down another 0, making it 70 again, and repeat the division process.

 

Step 5: This process will repeat indefinitely, resulting in a recurring decimal of 0.77777…

 

Finally, add this to the whole number part, 8, to get 8.77777…

Professor Greenline from BrightChamps

Important Glossaries for 8 7/9 as a decimal

  • Mixed Number: A number consisting of an integer and a fractional part.
     
  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
     
  • Recurring Decimal: A decimal in which one or more digits repeat infinitely.
     
  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
     
  • Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Professor Greenline from BrightChamps

About BrightChamps in Philippines

At BrightChamps, math questions are more than just calculations—they open up countless possibilities! Our goal is to help children throughout the Philippines build important skills, such as today’s focus on the 8 7/9 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and simple way. Whether your child is figuring out the speed of a roller coaster at Enchanted Kingdom, following scores at a local basketball game, or managing their allowance to buy gadgets, mastering math gives them the confidence they need for everyday life. Our interactive lessons make learning fun and straightforward. Because kids in the Philippines learn in different ways, we tailor our approach to fit each child’s style. From the busy streets of Manila to the beautiful islands of Palawan, BrightChamps brings math to life, making it relatable and exciting across the Philippines. Let’s make decimal conversions a fun part of every child’s math journey!
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